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222230101032222 = 231012711135269767
BaseRepresentation
bin110010100001110111111010…
…001110101111110100011110
31002010211222201211121222012220
4302201313322032233310132
5213112004221331012342
62104351033220210210
764544411033342103
oct6241677216576436
91063758654558186
10222230101032222
116489a2905623a8
1220b11823239966
1397002934037ca
143cc3dcc43aaaa
151aa5aaccab5ec
hexca1dfa3afd1e

222230101032222 has 32 divisors (see below), whose sum is σ = 449026371638784. Its totient is φ = 73316213172000.

The previous prime is 222230101032197. The next prime is 222230101032223.

222230101032222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222230101032192 and 222230101032201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222230101032223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65992018 + ... + 69277749.

It is an arithmetic number, because the mean of its divisors is an integer number (14032074113712).

Almost surely, 2222230101032222 is an apocalyptic number.

222230101032222 is an abundant number, since it is smaller than the sum of its proper divisors (226796270606562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222230101032222 is a wasteful number, since it uses less digits than its factorization.

222230101032222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135272584.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 22223010 and 1032222, that added together give a palindrome (23255232).

The spelling of 222230101032222 in words is "two hundred twenty-two trillion, two hundred thirty billion, one hundred one million, thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 101 202 303 606 2711 5422 8133 16266 273811 547622 821433 1642866 135269767 270539534 405809301 811618602 13662246467 27324492934 40986739401 81973478802 366716338337 733432676674 1100149015011 2200298030022 37038350172037 74076700344074 111115050516111 222230101032222